{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math as mt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "nb_iters = 300\n",
    "lrn_rate = 0.1\n",
    "beta1 = 0.95\n",
    "beta2 = 0.999\n",
    "eps = 0.00000001"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Adam(object):\n",
    "    def __init__(self, lrn_rate, beta1, beta2, eps):\n",
    "        self.lrn_rate = lrn_rate\n",
    "        self.beta1 = beta1\n",
    "        self.beta2 = beta2\n",
    "        self.eps = eps\n",
    "        self.idx = 0\n",
    "        self.m = 0.0 # 1st order\n",
    "        self.v = 0.0 # 2nd order\n",
    "\n",
    "    def update(self, x, g):\n",
    "        self.idx += 1\n",
    "        self.m = self.beta1 * self.m + (1.0 - self.beta1) * g\n",
    "        self.v = self.beta2 * self.v + (1.0 - self.beta2) * g ** 2\n",
    "        m_adj = self.m / (1.0 - np.power(self.beta1, self.idx))\n",
    "        v_adj = self.v / (1.0 - np.power(self.beta2, self.idx))\n",
    "        x_new = x - self.lrn_rate * m_adj / np.sqrt(v_adj + self.eps)\n",
    "        return x_new"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "class diffGrad(object):\n",
    "    def __init__(self, lrn_rate, beta1, beta2, eps):\n",
    "        self.lrn_rate = lrn_rate\n",
    "        self.beta1 = beta1\n",
    "        self.beta2 = beta2\n",
    "        self.eps = eps\n",
    "        self.idx = 0\n",
    "        self.m = 0.0 # 1st order\n",
    "        self.v = 0.0 # 2nd order\n",
    "        self.g_prev = 0.0\n",
    "\n",
    "    def update(self, x, g):\n",
    "        self.idx += 1\n",
    "        self.m = self.beta1 * self.m + (1.0 - self.beta1) * g\n",
    "        self.v = self.beta2 * self.v + (1.0 - self.beta2) * g ** 2\n",
    "        m_adj = self.m / (1.0 - np.power(self.beta1, self.idx))\n",
    "        v_adj = self.v / (1.0 - np.power(self.beta2, self.idx))\n",
    "        dfc = 1.0 / (1.0 + np.exp(-np.abs(self.g_prev - g)))\n",
    "        x_new = x - self.lrn_rate * m_adj * dfc / (np.sqrt(v_adj) + self.eps)\n",
    "        self.g_prev = g\n",
    "        return x_new"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 1800x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def calc_grad(x):\n",
    "    if x <= 0:\n",
    "        return 2*x + 0.6\n",
    "    else:\n",
    "        return 2*x - 0.4\n",
    "\n",
    "# optimize with the specified solver\n",
    "def solve(x0, solver):\n",
    "    x = np.zeros(nb_iters)\n",
    "    x[0] = x0\n",
    "    for idx_iter in range(1, nb_iters):\n",
    "        g = calc_grad(x[idx_iter - 1])\n",
    "        x[idx_iter] = solver.update(x[idx_iter - 1], g)\n",
    "    return x\n",
    "\n",
    "# Adam & diffGrad\n",
    "x = {}\n",
    "x0 = -1.0\n",
    "solver = Adam(lrn_rate, beta1, beta2, eps)\n",
    "x['adam'] = solve(x0, solver)\n",
    "solver = diffGrad(lrn_rate, beta1, beta2, eps)\n",
    "x['diffGrad'] = solve(x0, solver)\n",
    "# visualization\n",
    "plt.rcParams['figure.dpi']= 300\n",
    "plt.rcParams['figure.figsize'] = [6.0, 4.0]\n",
    "plt.plot(np.arange(nb_iters) + 1, x['adam'], label='Adam')\n",
    "plt.plot(np.arange(nb_iters) + 1, x['diffGrad'], label='diffGrad')\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def calc_grad(x):\n",
    "    if x <= -0.9:\n",
    "        return -40\n",
    "    else:\n",
    "        return x * mt.cos(8 * x) + mt.sin(8 * x) + 3 * x * x\n",
    "\n",
    "# optimize with the specified solver\n",
    "def solve(x0, solver):\n",
    "    x = np.zeros(nb_iters)\n",
    "    x[0] = x0\n",
    "    for idx_iter in range(1, nb_iters):\n",
    "        g = calc_grad(x[idx_iter - 1])\n",
    "        x[idx_iter] = solver.update(x[idx_iter - 1], g)\n",
    "    return x\n",
    "\n",
    "# Adam & diffGrad\n",
    "x = {}\n",
    "x0 = -1.0\n",
    "solver = Adam(lrn_rate, beta1, beta2, eps)\n",
    "x['adam'] = solve(x0, solver)\n",
    "solver = diffGrad(lrn_rate, beta1, beta2, eps)\n",
    "x['diffGrad'] = solve(x0, solver)\n",
    "# visualization\n",
    "plt.rcParams['figure.dpi']= 300\n",
    "plt.rcParams['figure.figsize'] = [6.0, 4.0]\n",
    "plt.plot(np.arange(nb_iters) + 1, x['adam'], label='Adam')\n",
    "plt.plot(np.arange(nb_iters) + 1, x['diffGrad'], label='diffGrad')\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def calc_grad(x):\n",
    "    if x <= -0.5:\n",
    "        return 2 * x\n",
    "    elif x <= -0.4:\n",
    "        return 1.0\n",
    "    elif x <= 0.0:\n",
    "        return -7/8\n",
    "    elif x <= 0.4:\n",
    "        return 7/8\n",
    "    elif x <= 0.5:\n",
    "        return -1.0\n",
    "    else:\n",
    "        return 2 * x\n",
    "\n",
    "# optimize with the specified solver\n",
    "def solve(x0, solver):\n",
    "    x = np.zeros(nb_iters)\n",
    "    x[0] = x0\n",
    "    for idx_iter in range(1, nb_iters):\n",
    "        g = calc_grad(x[idx_iter - 1])\n",
    "        x[idx_iter] = solver.update(x[idx_iter - 1], g)\n",
    "    return x\n",
    "\n",
    "# Adam & diffGrad\n",
    "x = {}\n",
    "x0 = -1.0\n",
    "solver = Adam(lrn_rate, beta1, beta2, eps)\n",
    "x['adam'] = solve(x0, solver)\n",
    "solver = diffGrad(lrn_rate, beta1, beta2, eps)\n",
    "x['diffGrad'] = solve(x0, solver)\n",
    "# visualization\n",
    "plt.rcParams['figure.dpi']= 300\n",
    "plt.rcParams['figure.figsize'] = [6.0, 4.0]\n",
    "plt.plot(np.arange(nb_iters) + 1, x['adam'], label='Adam')\n",
    "plt.plot(np.arange(nb_iters) + 1, x['diffGrad'], label='diffGrad')\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
